Which equation can be simplified to find the inverse of y = x2 – 7?
a: x=y ^ 2 - 1/7
b: 1/x = y^2 - 7
c: x = y^2 – 7
d: –x = y^2 – 7
Answer:
C- x=y^2-7
Step-by-step explanation:
To find the inverse of the function you can just exchange the name of the variables, change x for y and y for x..
original (direct) function: y = x^2 - 7
inverse function x = y^2 - 7
Then, the answer is the option c.
Which relationship is always true for the angles r, x, y, and z of triangle ABC?
x + z = y
180 degrees − x = r
x + y + z = 180 degrees
x + y + z = 90 degrees
Answer with explanation:
In the problem , given about triangle, four angles are given , r,x ,y and z.
→→One of the three, must be exterior angle of triangle ABC, and other three, must be interior angles of Δ ABC.
So, two properties of triangle that we will use in this problem
1. Angle sum property of triangle: the sum of three angles of triangle is 180°.
2.Exterior angle property: Exterior angle of a triangle is equal to sum of two interior opposite angles.
So, if x, y and z are interior angles , and r is exterior angle
then
Option 3: x + y + z = 180° is always true.
either, r= y + z
and ,r +x=180°
If a die is rolled 1 time find the probability of getting a number less than 6
if a line on a garph is completely verticle WOULD THE SLOPE TECHNICALLY BE 0 OR UNIDENTIFIED... ONLY ANSWER IF YOU ARE CERTAIN (oops caps lock)
find the next 3 terms in the sequence 1, 1, 2, 3, 5, 8, . . .
A.) 9,10,11
B.) 11.14.17
C.) 13,21,34
D.)14,26,50
Suppose you have $100 in a savings account earning 2 percent interest a year. After five years, would you have more than $102, exactly $102 or less than $102?
How do you write 1/5 as a percentage and a decimal?
How do you write 112,300 in word form?
The number 112,300 written in word form is 'one hundred twelve thousand three hundred'.
Explanation:To write the number 112,300 in word form, you would write it as one hundred twelve thousand three hundred.
When writing numbers in word form, it's important to break them down into their place values and then use conjunctions such as 'and' where appropriate, typically between the hundreds and smaller units. In this case, there are no smaller units, so 'and' isn't used. Instead, we clearly express each place value starting from the highest, which is the hundred thousands, followed by the thousands, then hundreds, tens, and ones, though here the tens and ones places are zero and do not need to be included in the word form.
What is the greatest common factor of 32 and 36?
sylvie finds the solution by graphing y=2/3x+1 and y=-2/3x-1
which graph shows the solution to sylvies system of equations?
we have
[tex] y=\frac{2}{3} x+1 [/tex] ----------> equation [tex] 1 [/tex]
[tex] y=-\frac{2}{3} x-1 [/tex] ----------> equation [tex] 2 [/tex]
using a graph tool
we know that
the intersection point of both lines is the solution of the system
so
the solution is the point [tex] (-1.5,0) [/tex]
see the attached figure
therefore
the answer is
The solution of the system is the point [tex] (-1.5,0) [/tex]
The graph in the attached figure
f the graph of y=ax+b/x+c has a horizontal asymptote y=2 and a vertical asymptote x=-3 then a+c=?
a)-3
b)-1
c)0
d)1
E)5 ...?
Answer: 5
Step-by-step explanation:
Lim x-> a (ax+b)/x+c = a you know that a=2
Since the limit of x ->-3 equals infinity, you know that x =3.
Thus a+c = 5
Rewrite (-9)^-2 without an exponent
What is the value of x, when 10(x + 2) = 5(x + 8)?
The value of ( x ) is 4.
To find the value of ( x ) in the equation [tex]\( 10(x + 2) = 5(x + 8) \)[/tex], we'll follow these steps:
[tex]\[ 10(x + 2) = 5(x + 8) \][/tex]
[tex]\[ 10x + 20 = 5x + 40 \][/tex]
[tex]\[ 10x - 5x + 20 = 5x - 5x + 40 \][/tex]
[tex]\[ 5x + 20 = 40 \][/tex]
[tex]\[ 5x + 20 - 20 = 40 - 20 \][/tex]
[tex]\[ 5x = 20 \][/tex]
[tex]\[ \frac{5x}{5} = \frac{20}{5} \][/tex]
[tex]\[ x = 4 \][/tex]
Therefore, [tex]\( x = 4 \)[/tex] is the solution.
What type of polynomial is 2x2-6x+4? ...?
Joey had $254 to spend at the video games store. He was able to buy 9 video games and had $29 left. How much did each game cost?
Find sin 2x, cos 2x, and tan 2x from the given information.
tan x = (− 12/5), x in Quadrant II ...?
Given that tan(x) is -12/5 in Quadrant II where sin is positive and cos is negative, we can use the Pythagorean theorem to find sin(x) and cos(x), which are then used to calculate sin(2x), cos(2x), and tan(2x).
Explanation:Given tan(x) = -12/5, x is in Quadrant II. Since tangent is negative in Quadrant II, we know that sin(x) is positive and cos(x) is negative. Using Pythagorean theorem, we can find sin(x) and cos(x). sin(x) = sqrt(1 - cos²(x)) and cos(x) = -sqrt(1-sin²(x)).
The values for sin(x) and cos(x) can then be plugged into the formulas sin2x = 2sin(x) cos(x), cos2x = cos²(x)-sin²(x) and tan2x = sin2x / cos2x to find sin(2x), cos(2x), and tan(2x).
Learn more about Trigonometric Identities here:https://brainly.com/question/3785172
#SPJ3
Prove the trigonometric identity:
(csc^2x)/(cotx)=cscxsecx ...?
The ponce de leon lighthouse in St.Augustine, Florida, is the second tallest brick tower in the United States.It was built in 1887 and rises 175 feet above sea level. How far from the shore is a motorboat if the angle of depression from the top of the lighthouse is 13 degree 15 minutes?
Answer:
743.41 feet.
Step-by-step explanation:
In this question it is given that height of the tower OS is 175 feet and angle of depression ∠ASB = 13°15'
angle of depression to the boat B will be equal to the angle of elevation "∠B"
Now ∠ASB = 13°15' ≈ 13° + [tex](\frac{15}{60})[/tex]°
= 13° + (0.25)°
= 13.25°
Now tan ∠B = [tex]\frac{SO}{OB}[/tex]
tan (13.25) = [tex]\frac{175}{x}[/tex]
x = [tex]\frac{175}{0.2354}[/tex]
= 743.41 feet.
Motorboat is 743.41 feet far from the shore.
What is the reference angle for 7pi/6
a function can only be represented by a straight line on the coordinate plain
True or False
In fishery science, a cohort is the collection of fish that results from one annual reproduction. It is
usually assumed that the number of fish N( t ) still alive after t years is given by an exponential function. For Pacific halibut,N( t ) = N0e ^-0.2t , where N o is the initial size of the cohort.
Approximate the percentage of the original number still alive after 7 years. Round to one decimal place, if necessary.
please show the steps
Using the exponential decay function for Pacific halibut, it is calculated that approximately 24.7% of the original cohort is still alive after 7 years.
Explanation:To approximate the percentage of the original number of Pacific halibut still alive after 7 years, we use the exponential decay model provided, N(t) = N0e^-0.2t. Plugging in t = 7 years into the equation gives us:
N(7) = N0e^-0.2(7) = N0e^-1.4.
To find this percentage, we can multiply the value of e^-1.4 by 100%. First, we calculate e^-1.4 approximately using a calculator:
e^-1.4 ≈ 0.24660
Multiplying by 100 to get the percentage: 0.24660 × 100% ≈ 24.7%.
Therefore, approximately 24.7% of the original Pacific halibut cohort is still alive after 7 years.
how do you write 8.2 in mixed number
A rental car agency charges a flat fee of $110.00 plus $46.00 per day to rent a certain car. Another agency charges a fee of $70.00 plus $54.00 per day to rent the same car.
Using a graphing calculator, find the number of days for which the costs are the same. Round your answer to the nearest whole day.
Answer:
5
Step-by-step explanation:
what is 23 over 18 in simplest form
What is the value of f(-2)
To calculate the value of f(-2), a function definition f(x) is required. The information provided does not include this, making it impossible to determine the value of f(-2) without further details.
Explanation:In the context given, it appears that the question f(-2) refers to finding the value of a function f when the variable is -2. However, the provided information does not include a function or formula for f(x) that can be evaluated at x = -2. The details given seem to be related to various mathematical and scientific principles such as lens formula, chemical reactions, and quadratic equations, but none of these can be directly linked to a function f(x) to evaluate f(-2). To answer the question about the value of f(-2), the explicit function definition f(x) is necessary. Without this definition, it is impossible to determine the value of f(-2).
The value of f(2) for the function f(x) = 2x^2+1 is 9. This is calculated by substituting '2' into the function, squaring it, multiplying by 2, and then adding 1.
To find the value of f(2) for the function f(x) = 2x^2+1, you simply substitute '2' for every instance of 'x' in the function's formula. Here's the step-by-step calculation:
Replace 'x' with '2': 2(2)^2 + 1
Multiply '2' by '4': 8 + 1
Add '1' to '8': 9
Therefore, the value of f(2) is 9.
The probable question maybe:
What is the value of f(2) if f(x) = 2x^2+1?
Which of the following shows the correct factorization of x3 - 5x2 - 14x?
A. x(x + 7)(x + 2)
B. x(x - 7)(x - 2)
C. x(x + 7)(x - 2)
D. x(x - 7)(x + 2)
What did the sea monster say after eating 27 ships carrying potatoes?
3 times the sum of k and d
Answer:
[tex]3(k+d)[/tex]
Step-by-step explanation:
We have been given a sentence. We are supposed to represent our given statement as an expression.
Sentence:
3 times the sum of k and d.
We know that we can find sum of k and d by adding them as shown:
[tex]k+d[/tex]
Since 3 is multiplied to sum of k and d, so sum of k and d will be inside parenthesis.
[tex]3(k+d)[/tex]
Therefore, our required algebraic expression would be [tex]3(k+d)[/tex].
What is the value of the expression when a = 5 and b = 2?
a + 2b −3
6
9
11
24
ind the z score that best satisfies the condition. 20%of the total area is to the left of z
To find the z-score that satisfies the condition of 20% of the total area being to the left of z, use the z-table to locate the closest area to 0.20 and its corresponding z-score.
Explanation:To find the z-score that satisfies the condition of 20% of the total area being to the left of z, you can use the z-table. First, locate the area in the table that is closest to 0.20, which is 0.1995.
The corresponding z-score is approximately -0.85.
Therefore, the z-score that best satisfies the condition is -0.85.